Solve for x and y!

Show your work and you will get brainliest!

Solve For X And Y!Show Your Work And You Will Get Brainliest!

Answers

Answer 1

Answer:

x = y = 24.

Step-by-step explanation:

Here we are given a right angled triangle in which one of the angles is 45° . And one of the known side is 24√2 . And we need to find out the value of x and y.

Here we can use the ratio of sine as ,

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{p}{b} [/tex]

Substituting the respective values,

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{x}{24\sqrt2}[/tex]

Value of sin 45° is 1/√2 . So that,

[tex]\qquad\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{x}{24\sqrt2}[/tex]

Cross multiply ,

[tex]\qquad\rm\longrightarrow x =\dfrac{24\sqrt2}{\sqrt2} [/tex]

Simplify,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\rm \blue{x = 24}}} [/tex]

Again , the third angle will be 45° . we know that the sides opposite to equal angles are equal. Therefore here ,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\blue{\rm y = 24}}}[/tex]

Answer 2

The values of x and y are 24

The triangle is a right angled triangle with an angle measure of 45 degrees.

The above means that:

The values of x and y are equal

So, we have:

[tex]x^2 + y^2 = (24\sqrt 2)^2[/tex]

Evaluate the squares

[tex]x^2 + y^2 = 1152[/tex]

x and y have equal values,

So, we have:

[tex]x^2 + x^2 = 1152\\\\[/tex]

[tex]2x^2 = 1152[/tex]

Divide through by 2

[tex]x^2 = 576[/tex]

Take the square roots of both sides

[tex]x = 24[/tex]

Hence, the values of x and y are 24

Read more about right triangles at:

https://brainly.com/question/2437195


Related Questions

Use the weights and measurements chart to answer the following question. Sometimes it is necessary to convert units of measurement.

How many tons in 5,000 lb?

(Clue Its a divided with mixed numbers)

Answers

2.5 tons

Formula:

[tex] \frac{5000}{2000} [/tex]

[tex] = > \frac{5}{2} [/tex]

[tex] = > 2.5[/tex]

Hence, 5000 Pound is equal to 2.5 Ton.

Step-by-step explanation:

The unit of weight in the avoirdupois system equal to 2,000 pounds in the United States and 2,240 pounds in Britain. The metric ton used in most other countries is 1,000 kg, equivalent to 2,204.6 pounds.

Answer: 2 1/2

Step-by-step explanation:

Tell which property the statement x+14=14+x illustrates.

Answers

Answer:associative property of addition

Step-by-step explanation:The associative property of addition says that changing the grouping of the addends does not change the sum.

help please it would be nice! and show work

Answers

Step-by-step explanation:

Given,GRAM is a parallelogramRG = 19RP = 12AR = 15Solution:

i) Since,

Diagonals of a parallelogram bisect each other so,

RM = 2 × RP

=> RM = 2 × 12

=> RM = 24 (Ans)(i)

ii) Since,

Opposite sides of a parallelogram are equal so,

GM = AR = 15

=> GM = 15 (Ans)(ii)

iii) Since,

Opposite sides of a parallelogram are equal so,

AM = RG = 19

=> AM = 19 (Ans)(iii)

Given :

GRAM is a parallelogram where

RG = 19RP = 12AR = 15

Solution :

We know that,

Opposite sides of a parallelogram are equal in length.Diagonals of a parallelogram bisect each other.

So,

RG = 19

⇢ RG = AM [Opposite sides]

AM = 19 .

Since,

⠀⠀RP = 12

⇢ RM = 2(RP) [Diagonals bisect each other]

⇢ RM = 2(12)

RM = 24

Since,

⠀⠀AR = 19

⇢ AR = GM [Opposite sides]

GM = 15 .

Solve this pls ✨ my teacher is crazy she give us so much work

Answers

Answer:

The photo

Step-by-step explanation:

All is wreaten in the photo

HELP PLEASE
Find the value of x.
110°
50
5x
A. 10
B. 36
C. 8
O D. 12

Answers

D. 12
5x = 110-50
5x =60
x = 12


Which expressions represent a quadratic expression in factored form?
(x - 3)(x + 2)
(x + 4) - (x + 6)
5(x + 9)
3 x2 + 8x
(x - 1)(x - 1)

Answers

[tex]ax^2+bx+c=a(x-x_1)(x-x_2)=>\\\text{Ans:} (x-3)(x+2)[/tex]

plz help me please please please please please ​

Answers

w = 55

y = 55

X = 125

z = 125

Step-by-step explanation:

Angles with in a cube add up to 360 degrees

Answer:

w = 55 (vertical to 55)

y = 55 (corresponding to 55)

x = 125

z = 125

Step-by-step explanation:

55+55=110

a parallelogram = 360

360-110=250

x+z=250

x=z

250/2=125

You have a coupon for 20% off your total. Your total comes to $45.26. How much will you get off your total?

Answers

Answer:

$9.05

Step-by-step explanation:

We need to find 20% of 45.26

20% = 20/100 = 1/5 = 0.2

Of is related to multiplication

So, 20% OF 45.25 is 0.2 times 45.26

0.2 * 45.26 = 9.052

9.052 needs to be rounded to 9.05

The answer is $9.05

Hope this helps :)

Have a great day!

At 3:00 PM a man 5 ft tall casts a shadow 19.5 ft long. At the same time, a tree nearby casts a shadow 93.6 ft long. How tall is the tree?

Answers

79.1

19.5 minus 5 equals 14.5 so the shadow is 14.5 more then the actual thing.
subtract 14.5 from 93.6 and you get 79.1


Tbh im not sure how a tree can be 79.1 feet tall but thats what i got from the question. Math class does that sometimes lol.

whats the area of this tile

Answers

Answer:

9

Step-by-step explanation:

3 times 3 is 9

Answer:

9in.²

Step-by-step explanation:

just multiply the length n height = 3 × 3

= answer

Solve by elimination:

4x+2y=8
8x+4y=16

Answers

Answer:

x = 1

y = 2

Step-by-step explanation:

for the first one it is that because 4 * 1 = 4 and then 2 * 2 equals 4 so 4 + 4 = 8

For the second one it is that because 8 * 1 = 8 and then 4 * 2 = 8 so 8 + 8 = 16!

If this helped you please mark brainliest!

Answer:

x = 1

y = 2

Step-by-step explanation:

cuz that is the answer i found

A number from 0 to 9 is randomly selected and then a letter from A to D is randomly selected. What is the probability that the number 3 and a consonant are selected?

Answers

Answer:

[tex]\frac{1}{10}*\frac{3}{4} =\frac{3}{40}[/tex]

Step-by-step explanation:

There are 10 numbers 0,1,…9

Probability that 3 is selected is  [tex]\frac{1}{10}[/tex]

Again, there are 4 letters A,B,C & D of which 3 are consonants and 1 is vowel. So, probability of selecting a consonant is [tex]\frac{3}{4}[/tex] . Hence, the required probability is [tex]\frac{1}{10} *\frac{3}{4} = \frac{3}{40}[/tex]

Brainliest?!

ABC is a right angled triangle AC=18 angle ACB=37 calculate the length of AB

Answers

Answer:

10.8

Step-by-step explanation:

sin(37) =AB/AC

Since AC=18

AB= 18sin(37)

Therefore AB=10.8

A 21 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground if 14 foot from the base of the building. How high up the wall does the ladder reach

Answers

Answer:

15.65 foot

Step-by-step explanation:

Pythagoras theorem can be used

a² + b² = c²

a being 14
b being unknown ( x )
c being 21

hence,

14² + x² = 21²
196 + x² = 441

x = √245  

  = 15.65 foot (answer)

The function g(x) is graphed. Which statements about the function are true? Choose three options. O g(1) = -1 O g(0) = 0 O 94) = -2 -5 O g(1) = 1 O g- 1) = 1 in​

Answers

Answer:

g(0) = 0

g(1) = 1  

g(-1) = 1  

Step-by-step explanation:

g(1) = -1 means that when 1 is inputted into the function, the output is -1.

Therefore, y = -1 when x = 1.  From inspection of the graph, when x = 1, y = 1, therefore this is untrue.

g(0) = 0 ⇒ y = 0 when x = 0. From inspection of the graph, when x = 0, y = 0. Therefore this is true.

g(4) = -2  ⇒ y = -2 when x = 4. From inspection of the graph, we cannot read when x = 4, but y > 0 when x = 4.  Therefore this is untrue.

g(1) = 1  ⇒ y = 1 when x = 1. From inspection of the graph, when x = 1, y = 1. Therefore this is true.

g(-1) = 1  ⇒ y = 1 when x = -1. From inspection of the graph, when x = -1, y = 1. Therefore this is true.

Emma is an artist and has created seven paintings

Answers

Answer:

what is the rest?

Step-by-step explanation:

Tell Emma I said congrats

Chris can read 50 pages of a book in 1 ½ hours. Based on this rate, how many pages will he read in 4 ½ hours?

Answers

Answer:

150

Step-by-step explanation:

50pg=1.5h multiply both by 3 to get 4.5 hours 50x3=150

Answer: 150

hope this helped :)

-7s+3s-6=14 what is the s

Answers

Answer:

s= -5

Step-by-step explanation:

-7s + 3s - 6 = 14

-4s = 20

s = -5

Answer:

-5

Step-by-step explanation:

-7s+3s-6=14

combine like terms

-4s-6=14

add 6 to both side

-4s=20

divide by 4

-1=5

x-1

1=-5

(-7x-5)+(3x-5)-6

(-4x-5)-6=14

20-6=14

16. In Chapter 5, you discovered that when you construct the three midsegments in a triangle, they divide the triangle into four congruent triangles. Are the four triangles similar to the original? Explain why or why not

Answers

Answer:

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.

Step-by-step explanation:


The area of a rectangle is calculated using the equation Area = length x width

What is the area of rectangle ABCD?

A. 6 Square Units
B. 441 Square Units
C. 21 Square Units
D. 49 Square Units

Answers

Answer:

441 (I think)

Step-by-step explanation:

I saw the answer in a quora post

145 Divided by 40,786

Answers

Answer:

0.00355514147

Step-by-step explanation:

Do Long Division

find the measure of angle A of the following triangle

Answers

Answer:

48.2° (1 d.p.)

Step-by-step explanation:

Start by labelling the given sides on the triangle.

The side in which the angle of interest and the right angle sits on is the adjacent side, while the side facing the right angle is the hypotenuse side (denoted by hyp).

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

[tex]\cosθ = \frac{6}{9} [/tex]

[tex]θ = \cos^{ - 1} ( \frac{6}{9} )[/tex]

θ= 48.2° (1 d.p.)

please help me i need help with ratios ​

Answers

The first one is 1:4 and the second is 4:1.

All there is to do is simple division (or simplifying). In the first set of two numbers side length is 6 and perimeter is 24. So if it's side length to perimeter then 6 to 24 which can be simplified to 1 to 4 and just switch the numbers with perimeter to side length.

Answer:

1. Side length to perimeter = 1:4

2. Perimeter to side length = 4:1

Step-by-step explanation:

Ok, so ratios are basically a way to compare two things.

For example, if someone askes the ratio of boys to girls in Mrs. White's class. Say there are 12 boys and 9 girls.

boys to girls = 12 to 9

That's a ratio!

Ratios are typically written like "12 to 9" (with the word "to") or "12:9" (with a colon) but there are also other ways.

In THIS question, you have to find the ratio of side length to perimeter and then vice versa. So, we see that the first number listed for side length is 6, and the first number for perimeter is 24. As we look down the chart, we should notice a pattern- the perimeter is 4 times as much as the side length! Therefore, the ratio of side length to perimeter is 1:4. To find the ratio of perimeter to side length, we just switch the order of the numbers. Now it's 4:1.

There! It's pretty simple! You just are finding the unit ratio!

If you need any more help, let me know! :)

I need help find the value of x?

Answers

Add the two angles and then subtract from 180* to find the missing angle

So,

145* + 15* = 160*

180* - 160* = 20*

Answer: x = 20*

1. Sam borrowed $3,200 from a credit company. He agreed to pay $110 per month for 5 years. Find the total amount he repaid and the amount of interest he paid.​

Answers

Answer:

6600?

Step-by-step explanation:

110 x 12 = 1320

1320 x 5 = 6600

(I suck at math)

Solve by elimination


6x+2y=42
8x-4y=36



I will mark as brainliest

Answers

Answer:

x=6, y=3

Step-by-step explanation:

6x +2y=42------(1)

8x-4y=36-------(2)

We can actually simplify it, this makes it easier to do and can avoid alot of careless mistakes

3x+y=21---(1)

2x-y=9----(2)

next, we can see that y can be eliminated

(1)+(2),

5x=21 +9

x = 30/5

x=6

substitute x=6 into (2),

2(6)-y=9

y=3

Lastly ,make a conclusion

Thus, x=6, y= 3

[tex] 6x + 2y = 42 \\ 8x - 4y = 36[/tex]

Simplify the first equation

[tex]y = 18 \\ 8x - 4y = 36[/tex]

Multiply both sides of second equation by 1/4

[tex]y = 18 \\ 2x - y = 9[/tex]

Sum the equations vertically to eliminate at least one variable

[tex]x = \frac{27}{2} [/tex]

The possible solution of the system is the ordered pair (x,y)

[tex] (x,y) = ( \frac{27}{8} , 18)[/tex]

Math Whizzes I have freshman question-
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4).
What is the initial value of the exponential function shown on the graph?

0
1
2
4

Answers

Answer:

4

Step-by-step explanation:

Exponential functions are written in the form  [tex]f(x)=ab^x[/tex]

[tex]a[/tex] is the initial value of an exponential function and is found by substituting [tex]x=0[/tex] into the function as [tex]b^0=1[/tex]

Therefore, as y = 4 when x = 0, the initial value is 4

What is the equation of the line that passes through the point (−5,7) and has a slope of -2/5

Answers

Answer:

y=-2/5x+5

Step-by-step explanation:

-2/5x because the slope is -2/5

5; solve for B by plugging in x=-5, y=7 into y=-2/5x+B

A town is designing a rectangular park that will be 600 feet wide by 1000 feet long. On a scale drawing, the dimensions of the park are 12 inches wide by 20 inches long. A rectangular area of the park for swing sets is 0. 5 inch wide by 2 inches long on the scale drawing. What is the actual length of the swing set area of the park? Enter your answer in the box. The actual length of the swing set area of the park is feet.

Answers

Scale drawing takes scaled versions of original lengths. The actual length of the swing set area of the park is 25 ft long and 100 ft wide

How are scale drawings formed?

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For the given case, it is given that

Real dimension of a rectangular park : 600 ft by 1000 ft

In drawing, it was of 12 inches by 20 inches.

Let the scale that the drawing is using be k feet to s inches, then

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

Since it is given that 600 ft : 12 inches and 1000 ft : 20 inches, thus, we get:

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.\\\\600 \: ft = \dfrac{600\times s}{k} \: in. = 12 \: in.\\\\\dfrac{600 \times s}{k} = 12\\\\\dfrac{s}{k} = \dfrac{12}{600} = 0.02[/tex]

Thus, every feet is reduced 0.02 times in drawing.

Now,

it is given that in drawing, the rectangular area for swing sets is 0.5 inch to 2 inch.

Let its real length was L and real width was W. Then we have:
[tex]\rm L \times 0.02 = 0.5 \\\\L = \dfrac{0.5}{0.02} = 25 \:\\\\W \times 0.02 = 2 \\W = \dfrac{2}{0.02} = 100[/tex]

Since these are only magnitudes, and unit was converted from feet to inches, so we have L = 25 feet and W = 100 feet

Thus,

The actual length of the swing set area of the park is 25 ft long and 100 ft wide

Learn more about scaling here:
https://brainly.com/question/8765466

Answer:

the answer is 20

Step-by-step explanation:

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!

Answers

Given, A + B = 90°

Putting values, we get

7x + 4 + 4x + 9 = 90°

11x + 13 = 90°

11x = 90 - 13 = 77°

x = 7°

Now, m<A = 7x + 4

= 7(7) + 4 = 53°

Hope this helps :)

Answer:

m∠A = 53°

Explanation:

complement angle: : two angles that add up to 90 degrees.

solve:

7x + 4 + 4x + 9 = 90

7x + 4x = 90 - 9 - 4

11x = 77

x = 7

Find m∠A:

7x + 4

7(7) + 4

49 + 4

53°

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